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Finding the Fourth Proportional to 15,102.31, 20,843.85 and 11,293.06

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Solution

The fourth proportional to 15,102.31, 20,843.85 and 11,293.06 is: 15,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.31 : 20,843.85 = 11,293.06 : x
  2. Step 2: Convert to fraction form
    15,102.31/20,843.85 = 11,293.06/x
  3. Step 3: Cross multiply
    15,102.31x = 20,843.85 × 11,293.06
  4. Step 4: Simplify right side
    15,102.31x = 235,390,848.68
  5. Step 5: Solve for x
    x = 235,390,848.68/15,102.31
  6. Step 6: Final answer
    x = 15,586.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.